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Finding the Fourth Proportional to 13,794,624,000.15, 20,691,936,000.23 and 13,794,624,000.15

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Solution

The fourth proportional to 13,794,624,000.15, 20,691,936,000.23 and 13,794,624,000.15 is: 20,691,936,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794,624,000.15 : 20,691,936,000.23 = 13,794,624,000.15 : x
  2. Step 2: Convert to fraction form
    13,794,624,000.15/20,691,936,000.23 = 13,794,624,000.15/x
  3. Step 3: Cross multiply
    13,794,624,000.15x = 20,691,936,000.23 × 13,794,624,000.15
  4. Step 4: Simplify right side
    13,794,624,000.15x = 285,437,476,958,271,537,152
  5. Step 5: Solve for x
    x = 285,437,476,958,271,537,152/13,794,624,000.15
  6. Step 6: Final answer
    x = 20,691,936,000.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.